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Fig. 1 | Advanced Modeling and Simulation in Engineering Sciences

Fig. 1

From: Phase-inherent linear visco-elasticity model for infinitesimal deformations in the multiphase-field context

Fig. 1

Maxwell-Wiechert model: A rheological representation with \(m = \left\{ 1, \dots , \text {P}^{\alpha } \right\} \), \(\text {P}^{\alpha } \in \mathbb {N}\), Maxwell branches, where \(\sigma ^{\mathrm{ext}}\) is an outer stress load, \(C_{ijkl}\) is a stiffness tensor, \(V_{ijkl}\) is a viscosity tensor, \(\varepsilon _{kl}^{\mathrm{el}}\) is an elastic strain and \(\varepsilon _{kl}^{\mathrm{v}}\) is a viscous strain. A similar representation may be found in e.g. Haupt [8]

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